Applied Mathematics 1411A/B Chapter 5.1.4: Applied Mathematics 1411A/B Chapter 5.1.: Applied Mathematics 1411A/B Chapter 5.1: Applied Mathematics 1411A/B Chapter 5.: Section 5.1.4

• School: Western University
• Department: Applied Mathematics
• Course: Applied Mathematics 1411A/B
• Professor: Bogdan Tudose

Document Summary

Now that we know how to find the eigenvalues, let"s try to find the corresponding eigenvectors. By definition, the eigenvectors of a corresponding to an eigenvalue are the nonzero vectors that satisfy ( i - a)x = 0. Well let say that b = ( i - a). If we have found the eigenvalue and we know a, we can compute ( i - a) into one equivalent matrix and then solve the system of bx = 0. This solution space of vectors is called the eigenspace of a corresponding to . This space can also be viewed as: a) b) c) The null space of the matrix ( i - a) The kernel of the matrix operator t i - a: rn -> rn. The set of vectors for which ax = x. If we"ve made it into a solution space We can find the basis of the eigenspace.